Abstract
A pair of Wolfe type multiobjective second order symmetric dual programs with cone constraints is formulated and usual duality results are established under second order invexity assumptions. These results are then used to investigate symmetric duality for minimax version of multiobjective second order symmetric dual programs wherein some of the primal and dual variables are constrained to belong to some arbitrary sets, i.e., the sets of integers. This paper points out certain omissions and inconsistencies in the earlier work of Mishra [S.K. Mishra, Multiobjective second order symmetric duality with cone constraints, European Journal of Operational Research 126 (2000) 675-682] and Mishra and Wang [S.K. Mishra, S.Y. Wang, Second order symmetric duality for nonlinear multiobjective mixed integer programming, European Journal of Operational Research 161 (2005) 673-682].
| Original language | English |
|---|---|
| Pages (from-to) | 402-409 |
| Number of pages | 8 |
| Journal | European Journal of Operational Research |
| Volume | 204 |
| Issue number | 3 |
| DOIs | |
| State | Published - 1 Aug 2010 |
| Externally published | Yes |
Keywords
- Minimax
- Multiobjective programming
- Second order invexity
- Symmetric duality
ASJC Scopus subject areas
- General Computer Science
- Modeling and Simulation
- Management Science and Operations Research
- Information Systems and Management